Approximating a Feller Semigroup by Using the Yosida Approximation of the Symbol of its Generator

Approximating a Feller Semigroup by Using the Yosida Approximation of the Symbol of its Generator
Jacob, Niels; Potrykus, Alexander
2006-10-13 00:00:00
We show that if the pseudodifferential operator −q(x,D) generates a Feller semigroup (T
t
)
t
≥0 then the Feller semigroups (T
t
(v)
)
t
≥0 generated by the pseudodifferential operators with symbol [InlineMediaObject not available: see fulltext.] will converge strongly to (T
t
)
t
≥0 as ν →∞.
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Approximating a Feller Semigroup by Using the Yosida Approximation of the Symbol of its Generator